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Finding the Fourth Proportional to 21,624, 32,448.60 and 9,143.28

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Solution

The fourth proportional to 21,624, 32,448.60 and 9,143.28 is: 13,720.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,624 : 32,448.60 = 9,143.28 : x
  2. Step 2: Convert to fraction form
    21,624/32,448.60 = 9,143.28/x
  3. Step 3: Cross multiply
    21,624x = 32,448.60 × 9,143.28
  4. Step 4: Simplify right side
    21,624x = 296,686,635.41
  5. Step 5: Solve for x
    x = 296,686,635.41/21,624
  6. Step 6: Final answer
    x = 13,720.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.